Question

5x-3y=8
3x+y=2 how to solve it​

Answer 1

Answer:

this can be solved by substitution or elimination method

Answer 2

The equation of 5x - 3y = 8; 3x + y = 2 can be solved with the help of the substitution and elimination method.

Taking the equation of 3x + y = 2 and multiplying the equation with 3, so we get,  

3 ( 3x + y ) = 3 (2)

∴ 9x + 3y = 6 ( By opening the bracket )

Now, we will add, 5x - 3y = 8 in the above equation,

9x + 3y + 5x - 3y = 6 + 8

9x + 5x + 3y -3y = 6 + 8 (re-arranging the equation)

∴ 14x = 14 ( +3y and -3y gets nullified)

∴ x = 1

Substituting the value of obtained x in the equation, 3x + y =2, in order to get the value of y

3x + y = 2

∴ 3 (1) + y = 2 (adding the value)

∴ 3 + y = 2

∴ y = 2 - 3 (re-arranging)

∴ y = -1